International Journal of Biomedical Research & Practice

International Journal of Biomedical Research & Practice

Open Access
ISSN: 2769-6294
Research Article

Better than the Total Variation Regularization

Authors: Gengsheng L. Zeng.

DOI: 10.33425/2769-6294.1031


Abstract

The total variation (TV) regularization is popular in iterative image reconstruction when the piecewise-constant nature of the image is encouraged. As a matter of fact, the TV regularization is not strong enough to enforce the piecewise- constant appearance. This paper suggests a different regularization function that is able to discourage some smooth transitions in the image and to encourage the piecewise-constant behavior. This new regularization function involves a Gaussian function. We use the limited-angle tomography problem to illustrate the effectiveness of this new regularization function. The limited-angle tomography situation considered in this paper uses a scanning angular range of 40°. For two-dimensional parallel-beam imaging, the required angular range is supposed to be 180°.

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Citation: Gengsheng L. Zeng. Better than the Total Variation Regularization. 2024; 4(3). DOI: 10.33425/2769-6294.1031
Editor-in-Chief
Adrian Pablo Hunis
Adrian Pablo Hunis
School of Medicine | University of Buenos Aires

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